What is the Greatest Common Factor of 80002 and 80014?

Greatest common factor (GCF) of 80002 and 80014 is 2.

GCF(80002,80014) = 2

We will now calculate the prime factors of 80002 and 80014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80002 and 80014.

How to find the GCF of 80002 and 80014?

We will first find the prime factorization of 80002 and 80014. After we will calculate the factors of 80002 and 80014 and find the biggest common factor number .

Step-1: Prime Factorization of 80002

Prime factors of 80002 are 2, 13, 17, 181. Prime factorization of 80002 in exponential form is:

80002 = 2¹ × 13¹ × 17¹ × 181¹

Step-2: Prime Factorization of 80014

Prime factors of 80014 are 2, 11, 3637. Prime factorization of 80014 in exponential form is:

80014 = 2¹ × 11¹ × 3637¹

Step-3: Factors of 80002

List of positive integer factors of 80002 that divides 80002 without a remainder.

1, 2, 13, 17, 26, 34, 181, 221, 362, 442, 2353, 3077, 4706, 6154, 40001

Step-4: Factors of 80014

List of positive integer factors of 80014 that divides 80002 without a remainder.

1, 2, 11, 22, 3637, 7274, 40007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80002 and 80014. The biggest common factor number is the GCF number.
So the greatest common factor 80002 and 80014 is 2.

Also check out the Least Common Multiple of 80002 and 80014